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Finding the Third Proportional to 173,452 and 378,339

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Solution

The third proportional to 173,452 and 378,339 is: 825,245.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,452 : 378,339 = 378,339 : x
  2. Step 2: Convert to fraction form
    173,452/378,339 = 378,339/x
  3. Step 3: Cross multiply
    173,452x = 378,339 × 378,339
  4. Step 4: Simplify right side
    173,452x = 143,140,398,921
  5. Step 5: Solve for x
    x = 143,140,398,921/173,452
  6. Step 6: Final answer
    x = 825,245.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.